Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0872.92019
Wang, Wendi; Zhien, Ma
Asymptotic behavior of a predator-prey system with diffusion and delays. (English)
[J] J. Math. Anal. Appl. 206, No.1, 191-204 (1997). ISSN 0022-247X

Summary: The asymptotic behavior of solutions of a predator-prey system is determined. The model incorporates time delays due to gestation and assumes that the prey disperses between two patches of a heterogeneous environment with barriers between patches and that the predator disperses between the patches with no barrier. Conditions are established for the permanence of the populations and the global attractivity of a positive equilibrium.

MSC 2000:: *92D40 Ecology
34K25 Asymptotic theory of functional-differential equations
34K99 Functional-differential equations
34K20 Stability theory of functional-differential equations

Keywords: predator-prey system; time delays; gestation; heterogeneous environment; permanence; global attractivity; positive equilibrium

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]